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Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state…

Pattern Formation and Solitons · Physics 2015-06-03 M. Sato , S. Imai , N. Fujita , S. Nishimura , Y. Takao , Y. Sada , B. E. Hubbard , B. Ilic , A. J. Sievers

Confined modes at the edge arbitrarily inclined with respect to optical axes of nonmagnetic anisotropic 2D materials are considered. By developing the exact Wiener-Hopf and approximated Fetter methods we studied edge modes dispersions,…

Mesoscale and Nanoscale Physics · Physics 2021-04-05 A. A. Sokolik , O. V. Kotov , Yu. E. Lozovik

We investigate the dynamics of strongly disordered spin chains in the presence of random local measurements. By studying the transverse-field Ising model with a site-dependent random longitudinal field and an effective $l$-bit many-body…

Disordered Systems and Neural Networks · Physics 2025-12-03 Yicheng Tang , Pradip Kattel , Arijeet Pal , Emil A. Yuzbashyan , J. H. Pixley

In this work, we exemplify on a bulk silicon sample that Raman thermometry is capable of phonon mean free path (PMFP) spectroscopy. Our experimental approach is similar to the variation of different characteristic length scales $l_{c}$…

We prove the existence of exponentially localised and time-periodic solutions in general nonlinear Hamiltonian lattice systems. Like normal modes, these localised solutions are characterised by collective oscillations at the lattice sites…

Pattern Formation and Solitons · Physics 2016-07-14 Dirk Hennig

We treat resonant Raman scattering via the multiphonon exciton transitions in cylindrical quantum dots with a parabolic confinement in the lateral direction and with a finite rectangular interface-barrier confinement in the axial direction.…

Mesoscale and Nanoscale Physics · Physics 2012-05-09 S. N. Klimin , V. M. Fomin , J. T. Devreese , J. -P. Leburton

The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a…

Quantum Gases · Physics 2015-05-28 S. Rojas-Rojas , R. A. Vicencio , M. I. Molina , F. Kh. Abdullaev

We present a rigorous spectral analysis of plasmonic resonances in the nonlocal regime of spatially dispersive media. We adopt the quasi-static approximation of the hydrodynamic Drude model, which provides an analytically tractable setting…

Analysis of PDEs · Mathematics 2026-04-21 Hyundae Lee , Matias Ruiz , Sanghyeon Yu

The recent renaissance of black phosphorus (BP) as a two-dimensional 2D layered material has generated tremendous interest in its tunable electronic band gap and highly anisotropic transport properties that offer new opportunities for…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Shan Dong , Anmin Zhang , Kai Liu , Jianting Ji , Y. G. Ye , X. G. Luo , X. H. Chen , Xiaoli Ma , Yinghao Jie , Changfeng Chen , Xiaoqun Wang , Qingming Zhang

Raman and Photoluminescence (PL) experiments on correlated metallic La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ have been carried out using different excitation wavelengths as a function of temperature from 15 K to 300 K. Our data suggest a Raman mode…

Condensed Matter · Physics 2009-10-28 Rajeev Gupta , A. K. Sood , R. Mahesh , C. N. R. Rao

We consider the 2D critical Ising model on a strip with fixed boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being…

Mathematical Physics · Physics 2012-11-13 Alessandro Nigro

We present a Raman scattering study of Ca$_2$RuO$_4$, in which we investigate the temperature-dependence of the lattice dynamics and the electron-phonon interaction below the metal-insulator transition temperature ({\it T}$_{\rm MI}$).…

Strongly Correlated Electrons · Physics 2009-11-11 H. Rho , S. L. Cooper , S. Nakatsuji , H. Fukazawa , Y. Maeno

We analyze the existence, stability, and propagation of dissipative discrete localized modes in one- and two-dimensional nonlinear lattices composed of weakly coupled split-ring resonators (SRRs) excited by an external electromagnetic…

We report Raman forbidden layer-breathing modes (LBMs) in layered semiconductor materials (LSMs). The intensity distribution of all observed LBMs depends on layer number, incident light wavelength and refractive index mismatch between LSM…

Topological semimetals have revealed a wide array of novel transport phenomena, including electron hydrodynamics, quantum field theoretic anomalies, and extreme magnetoresistances and mobilities. However, the scattering mechanisms central…

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

Analysis of PDEs · Mathematics 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

Femtosecond optical pulses at mid-infrared frequencies have opened up the nonlinear control of lattice vibrations in solids. So far, all applications have relied on second order phonon nonlinearities, which are dominant at field strengths…

Materials Science · Physics 2018-04-04 Alexander von Hoegen , Roman Mankowsky , Michael Fechner , Michael Först , Andrea Cavalleri

We employ polarization-resolved Raman spectroscopy to study the lattice dynamics of the polar charge density wave phase of the superconductor Mo$_3$Al$_2$C with structural chirality. We show the phononic signatures of the charge density…

Superconductivity · Physics 2025-06-12 Shangfei Wu , Xianghan Xu , Fei-Ting Huang , Turan Birol , Sang-Wook Cheong , Girsh Blumberg

We study localized modes on a single Ablowitz-Ladik impurity embedded in the bulk or at the surface of a one-dimensional linear lattice. Exact expressions are obtained for the bound state profile and energy. Dynamical excitation of the…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 M. I. Molina

We study ground-state quantum entanglement in the one-dimensional Bose-Hubbard model in the presence of a harmonic trap. We focus on two transitions that occur upon increasing the characteristic particle density: the formation of a…

Statistical Mechanics · Physics 2019-12-20 Yicheng Zhang , Lev Vidmar , Marcos Rigol
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